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Finding the Third Proportional to 33,764 and 78,168

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Solution

The third proportional to 33,764 and 78,168 is: 180,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,764 : 78,168 = 78,168 : x
  2. Step 2: Convert to fraction form
    33,764/78,168 = 78,168/x
  3. Step 3: Cross multiply
    33,764x = 78,168 × 78,168
  4. Step 4: Simplify right side
    33,764x = 6,110,236,224
  5. Step 5: Solve for x
    x = 6,110,236,224/33,764
  6. Step 6: Final answer
    x = 180,968.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.